ABSTRACT

This paper deals with the critical curves for a fast diffusive p-Laplacian equation with nonlocal inner source under nonlinear boundary flux in half-line. We obtain new critical global existence curve and critical Fujita curve by constructing various self-similar super- and sub-solutions.

中文翻译：

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具有非局部源的快速扩散 p-拉普拉斯方程的临界曲线

摘要

本文研究了非局部内源快速扩散p-拉普拉斯方程在半线非线性边界通量下的临界曲线。我们通过构建各种自相似超解和子解，得到了新的临界全局存在曲线和临界藤田曲线。